Consider the father pushing a playground merry-go-round. He exerts a force of 250 Nat the edge of the 50.0-kg merry-go-round, which has a 1.50-m radius. Calculate theangular acceleration produced (a) when no one is on the merry-go-round and (b)when an 18.0-kg child sits 1.25 m away from the center. Consider the merry-go-round itself to be a uniform disk with negligible friction.

Answered: Image /qna-images/answer/9bb07ef3-ada6-4237-b318-314d30ea236c.jpg

Answered: Consider the father pushing a…

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

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Neutron stars are extremely dense objects that are formed from the remnants of supernova explosions. Many rotate very rapidly. Suppose the mass of a certain spherical neutron star is twice the mass of the Sun and its radius is 10.0 km. Determine the greatest possible angular speed the neutron star can have so that the matter at its surface on the equator is just held in orbit by the gravitational force.
Consider the father pushing a playground merry-go-round. He exerts a force of 400 N at the edge of the 75-kg merry-go-round, which has a 1.50-m radius. Calculate the angular acceleration produced when a 20.0-kg child sits 1.25 m away from the center. Consider the merry-go-round itself to be a uniform disk with negligible friction.
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An amusement park ride consists of a large vertical cylinder that spins about its axis fast enough that any person inside is held up against the wall even when the floor is removed. The coefficient of static friction between the person and the wall is u, = 0.3 and the radius of the drum is R = 2m. (a) Find wmin, the minimum angular speed at which the drum should rotate such that the person is held up even if the floor is removed. (hint: when the floor is removed, the person is held up by the static frictional force). (b) Find the linear speed of the person when the drum is rotating at the minimum gular speed you found in (a) (cC) Suppose that the drum started from rest and reached the speed you found in (a) in 120 seconds. During this time the drum had constant angular acceleration. Find the number of rotations made by the person within this time.
A uniform drawbridge must be held at a 37° angle abovethe horizontal to allow ships to pass underneath. The drawbridge weighs45,000 N and is 14.0 m long. A cable is connected 3.5 m from thehinge where the bridge pivots (measured along the bridge) and pullshorizontally on the bridge to hold it in place. What is the angular speed of the drawbridge as it becomes horizontal?
A satellite in a geosynchronous circular orbit is 42,164.0 km from the center of Earth. A small asteroid collides with the satellite sending it into an elliptical orbit of apogee 45,000.0 km. What is the speed of the satellite at apogee? Assume its angular momentum is conserved.
A boy with a mass of 31.0 kg slides down the slide shown below. At the moment shown, the radius of the slide is 1.29 m, his angular position is determined by 0 = (0.65t) rad, and his vertical position is determined by 2 = (-0.4t) m, where t is in seconds. What is the radial force, F, acting on the boy at t = 1.1 s? Assume the boy's size can be neglected.
A solid ball (sphere) of mass 1 kg and radius 0.3 m is held at rest at the top of a ramp. There is enough friction so that the ball will roll down the ramp without slipping. The top of the ramp is 10 meters above the ground.What will the speed be of the ball just before it hits the bottom of the ramp?
In a compact disc (CD) player, as the read head moves out from the center of the disc, the angular speed of the disc changes so that the linear speed at the position of the head remains at a constant value of about 1.2 m/s. (a) Find the angular speed of a CD of radius 6.45 cm when the read head is at r = 2.2 cm and again at r = 5.8 cm. (b) An old-fashioned record player rotates at a constant angular speed, so the linear speed of the record groove moving under the detector (the stylus) changes. Find the linear speed of a 45.0-rpm record at points 2.3 cm and 5.9 cm from the center. (c) In both the CDs and phonograph records, information is recorded in a continuous spiral track. Calculate the total length of the track for a CD designed to play for 1 hour and 15 minutes.
Suppose you exert a force of 185N tangential to the outer edge of a grindstone (which is a solid disk) with a radius of 1.56m and a mass of 74kg. What is the angular acceleration of the grindstone αf, in radians per square second, if there is an opposing frictional force of 22.5 N exerted 0.45 m from the axis?
Someone frequently throws a tennis ball for their dog to chase.Throughout the throwing motion, the angular velocity of their arm is 6.7radians/s, and the radius of rotation of the ball is 63.0 cm.One day they decide to test out a ball-throwing tool which effectivelyextends the radius of rotation by an extra 36 cm. Assuming all othervariables are equal, how much faster (in m/s) can they throw the ballwhen they use the launcher compared to when they don't?Express your answer to 2 decimals, and don't include units+. Please type answer not write by hend
given:wheel, radius 6.6 cm, m = 4.2 kgaccelerates from rest with angular acceleration 2.6 rad/s2.After 27 s, what is the angular velocity?

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